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2142231444 = 2232311191339
BaseRepresentation
bin111111110101111…
…1101101110010100
312112021222122002100
41333223331232110
513341402401234
6552323242100
7104041444503
oct17753755624
95467878070
102142231444
119aa263211
124b9519330
13281a86292
1416472083a
15c810a399
hex7fafdb94

2142231444 has 36 divisors (see below), whose sum is σ = 5432525280. Its totient is φ = 711777360.

The previous prime is 2142231419. The next prime is 2142231449. The reversal of 2142231444 is 4441322412.

2142231444 is a `hidden beast` number, since 214 + 2 + 2 + 3 + 1 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142231449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84474 + ... + 106865.

It is an arithmetic number, because the mean of its divisors is an integer number (150903480).

Almost surely, 22142231444 is an apocalyptic number.

It is an amenable number.

2142231444 is an abundant number, since it is smaller than the sum of its proper divisors (3290293836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142231444 is a wasteful number, since it uses less digits than its factorization.

2142231444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191660 (or 191655 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2142231444 is about 46284.2461751296. The cubic root of 2142231444 is about 1289.1064950212.

Adding to 2142231444 its reverse (4441322412), we get a palindrome (6583553856).

It can be divided in two parts, 2142 and 231444, that added together give a triangular number (233586 = T683).

The spelling of 2142231444 in words is "two billion, one hundred forty-two million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 11196 191339 382678 574017 765356 1148034 1722051 2296068 3444102 6888204 59506429 119012858 178519287 238025716 357038574 535557861 714077148 1071115722 2142231444